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Distance between Two Points on the Same Coordinate Axes

Find the dist...

Question

Find the distance between two complex nymbers $z_{1} = 2 + 3 i$ and $z_{2} = 7 - 9 i$ on the complex plane.

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Solution

$z_{1} = 2 + 3 i$

$z_{2} = 7 - 9 i$

$∴ d (z_{1} z_{2}) = \sqrt{{(2 - 7)}^{2} + {(3 - (- 9))}^{2}}$

$∴ d (z_{1} z_{2}) = \sqrt{25 + 144}$

$∴ d (z_{1} z_{2}) = \sqrt{169}$

$∴ d (z_{1} z_{2}) = 13$

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Q. Find the distance between two complex numbers

z_{1} = 2 + 3 i

z_{2} = 7 - 9 i

on the complex plane

Z_{1} = 2 + 3 i

z_{2} = 3 + 4 i

be two points on the complex plane. Then the set of complex numbers z satisfying

| z - z_{1} |^{2} + | z - z_{2} |^{2} = | z_{1} - z_{2} |^{2}

z_{1} = 2 + 3 i

z_{2} = 3 + 4 i

be two points on the complex plane. Then, the set of complex number

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{| z - z_{1} |}^{2} + {| z - z_{2} |}^{2} = {| z_{1} - z_{2} |}_{1}^{2}

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z_{1} = 3 + \sqrt{3} i

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are given on a complex plane. The complex number lying on the bisector of the angle formed by the vectors

z_{1}

z_{2}

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Distance between Two Points on the Same Coordinate Axes

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